SOLUTION: The product of two brothers' ages is 35. They are two years apart. How old are they?

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Question 1141529: The product of two brothers' ages is 35. They are two years apart. How old are they?
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the older brother's age
Let +b+ = the younger brother's age
--------------------------------------------
(1) +a%2Ab+=+35+
(2) +a+-+b+=+2+
----------------------------
(2) +a+=+b+%2B+2+
Plug this result into (1)
(1) +%28+b+%2B+2+%29%2Ab+=+35+
(1) +b%5E2+%2B+2b+-+35+=+0+
(1) +%28+b+%2B+7+%29%2A%28+b+-+5+%29+=+0+ ( by looking at it )
+b+ can't be negative, so
+b+=+5+
and
(2) +a+=+b+%2B+2+
(2) +a+=+5+%2B+2+
(2) +a+=+7+
----------------------------
The older brother is 7
The younger brother is 5

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find a pair of factors of 35 that differ by 2.
They're integers.
-----
1*35 NG
5*7 That's it.